/*
 * refValues_gradFlow.h
 *
 * Luis Altenkort
 *
 * Contains ordered reference values for the gradientFlowTest for all combinations of RK_method and force.
 */

#pragma once
#include <vector>

std::vector<std::vector<double>> refValues_gradFlow = {{
    {0.0000000000000000, 0.7206939468220194, 1.4836042728708649, -1.0429725677299002},
    {0.0500000000000000, 0.8360042697580369, 1.1414138316633367, -0.6349528154847888},
    {0.1000000000000000, 0.9040834304391679, 0.8386259047703882, -0.4174352184582039},
    {0.1500000000000000, 0.9424496144883138, 0.6098623510499432, -0.2990009434646330},
    {0.2000000000000000, 0.9640714791943539, 0.4484132949113416, -0.2179699500556102},
    {0.2500000000000000, 0.9765537361975388, 0.3366237225106581, -0.1580770955770413},
    {0.3000000000000000, 0.9840131592371626, 0.2587765027572932, -0.1151236483434775},
    {0.3500000000000000, 0.9886435694764576, 0.2036320451091933, -0.0855924578377892},
    {0.4000000000000000, 0.9916290517183879, 0.1637211818756757, -0.0658051338316837},
    {0.4500000000000000, 0.9936249557474487, 0.1341814460042341, -0.0526036985123998},
    {0.4999999999999999, 0.9950050378408893, 0.1118398805645341, -0.0436407579103749},
    {0.5499999999999999, 0.9959892348088381, 0.0945992374876876, -0.0373236097405391},
    {0.6000000000000000, 0.9967110291225004, 0.0810488140451048, -0.0326359590768448},
    {0.6500000000000000, 0.9972538720277728, 0.0702212707990720, -0.0289574602326703},
    {0.7000000000000001, 0.9976714207077246, 0.0614402373307193, -0.0259219244315863},
    {0.7500000000000001, 0.9979990956048188, 0.0542237465578284, -0.0233184469193650},
    {0.8000000000000002, 0.9982608601364551, 0.0482221191391333, -0.0210272679067574},
    {0.8500000000000002, 0.9984733013414141, 0.0431773332569302, -0.0189802318460190},
    {0.9000000000000002, 0.9986481466245619, 0.0388959851538772, -0.0171373826251890},
    {0.9500000000000003, 0.9987938521029989, 0.0352309832540519, -0.0154736089193304},
    {1.0000000000000000, 0.9989166269780676, 0.0320689470127976, -0.0139713057246517},
    {0.0000000000000000, 0.7206939468220194, 1.4836042728708649, -1.0429725677299002},
    {0.0500000000000000, 0.8531845445103678, 1.0770059652480133, -0.5970325777076169},
    {0.1000000000000000, 0.9217089187663094, 0.7466768382170746, -0.3721432981954232},
    {0.1500000000000000, 0.9559951007925981, 0.5207383145960740, -0.2487537031518236},
    {0.2000000000000000, 0.9735963079513424, 0.3736357767764459, -0.1687232338815476},
    {0.2500000000000000, 0.9830869148601029, 0.2773990708748573, -0.1162331840068707},
    {0.3000000000000000, 0.9884990613398005, 0.2127862624885157, -0.0831012242719412},
    {0.3500000000000000, 0.9917624778206551, 0.1679867206610261, -0.0627588381655902},
    {0.4000000000000000, 0.9938360951905767, 0.1359103320121886, -0.0502766246836053},
    {0.4500000000000000, 0.9952178743340845, 0.1122531373704860, -0.0423539628693756},
    {0.4999999999999999, 0.9961783115145258, 0.0943393638683105, -0.0369665319968039},
    {0.5499999999999999, 0.9968709168169337, 0.0804580285190856, -0.0329552990843447},
    {0.6000000000000000, 0.9973864998861914, 0.0694832918038534, -0.0296951897648967},
    {0.6500000000000000, 0.9977809020352636, 0.0606537343315864, -0.0268683199612284},
    {0.7000000000000001, 0.9980897136486599, 0.0534410880837409, -0.0243231123286007},
    {0.7500000000000001, 0.9983363751945767, 0.0474701842706214, -0.0219925398887701},
    {0.8000000000000002, 0.9985367932529479, 0.0424688789607713, -0.0198492762210517},
    {0.8500000000000002, 0.9987020577831822, 0.0382359486732666, -0.0178824216798622},
    {0.9000000000000002, 0.9988400912132620, 0.0346200199834983, -0.0160862174366501},
    {0.9500000000000003, 0.9989566781966034, 0.0315054346343483, -0.0144551153193912},
    {1.0000000000000000, 0.9990561259405939, 0.0288025724126537, -0.0129820442046615},
    {0.0000000000000000, 0.7206939468220194, 1.4836042728708649, -1.0429725677299002},
    {0.0101189098866387, 0.7486287064980643, 1.4151395184174591, -0.9449854076499339},
    {0.0198805499880621, 0.7732660800459809, 1.3478212217131011, -0.8566938634946939},
    {0.0299449124269413, 0.7963736653956278, 1.2780711851016735, -0.7737067304299983},
    {0.0404147084080912, 0.8180644521816762, 1.2060662119201260, -0.6968454119727689},
    {0.0511236773680750, 0.8379342512901053, 1.1338545057257587, -0.6282260907013320},
    {0.0622233451720168, 0.8562501342992879, 1.0613016221659064, -0.5670826845196557},
    {0.0738955854987780, 0.8732369496046479, 0.9881796401788526, -0.5124636111616763},
    {0.0857844663676580, 0.8883898356762605, 0.9175451779456223, -0.4654070258206377},
    {0.0979658653469192, 0.9019217730091450, 0.8495291574229598, -0.4244324938772628},
    {0.1000000000000000, 0.9040022413616917, 0.8386146603920684, -0.4181892000868708},
    {0.1126623661089023, 0.9159089689083548, 0.7735555685153216, -0.3825078085435019},
    {0.1252782200245559, 0.9261559336394414, 0.7136502385153156, -0.3514521942729597},
    {0.1382135377201921, 0.9352174963304289, 0.6571891658899151, -0.3231509236706184},
    {0.1514276336175729, 0.9431780805477074, 0.6044652851049744, -0.2970937716586174},
    {0.1648542841135079, 0.9501215144805502, 0.5557130096675273, -0.2729637280066001},
    {0.1785967671639472, 0.9562128162431502, 0.5104791042978505, -0.2502964646547049},
    {0.1927425821463388, 0.9615754221860793, 0.4684364047846687, -0.2288280021690978},
    {0.2072894671203497, 0.9662816291582575, 0.4295405132742066, -0.2085358461007280},
    {0.2221206493515603, 0.9703718452017986, 0.3939597910713686, -0.1895825448842009},
    {0.2373270569017190, 0.9739448146251940, 0.3612952322115947, -0.1718696126637685},
    {0.2529934758313511, 0.9770775895055278, 0.3312299957486208, -0.1553484918956579},
    {0.2691592431851763, 0.9798250656330220, 0.3035751820581646, -0.1400362742204650},
    {0.2857947973892442, 0.9822257341364166, 0.2782530859715956, -0.1259997850408271},
    {0.3029865900545946, 0.9843305773280279, 0.2550054680977832, -0.1131871337023684},
    {0.3208160322648140, 0.9861803760969244, 0.2336247654237664, -0.1015540540052609},
    {0.3391080049312227, 0.9877880074996486, 0.2141932493152271, -0.0911898826419692},
    {0.3579012988105960, 0.9891881381849219, 0.1965124574562394, -0.0820063889534708},
    {0.3772934135956142, 0.9904133829084820, 0.1803610176909056, -0.0738869351837349},
    {0.3973772173807700, 0.9914895539624992, 0.1655620839786714, -0.0667264530889869},
    {0.4182465878199317, 0.9924376317830806, 0.1519695118542939, -0.0604264422394901},
    {0.4399989848095676, 0.9932749412967909, 0.1394603847084371, -0.0548930751110163},
    {0.4627378022356199, 0.9940159776191744, 0.1279297610917275, -0.0500363072423580},
    {0.4865746388568034, 0.9946729991894203, 0.1172869194050297, -0.0457696680974586},
    {0.5000000000000000, 0.9949978456684480, 0.1118594988433831, -0.0436737614118335},
    {0.5264379277298538, 0.9955581917021760, 0.1022068428492311, -0.0400738111253884},
    {0.5536458244465493, 0.9960433406818497, 0.0935140340282142, -0.0369584818582540},
    {0.5824944821768314, 0.9964763819957404, 0.0854524366694644, -0.0341552808098071},
    {0.6131256316510770, 0.9968627604615923, 0.0779840626755262, -0.0316055946441098},
    {0.6457522722413201, 0.9972079680098835, 0.0710612976925120, -0.0292525304444721},
    {0.6806167393652506, 0.9975167728209462, 0.0646418981130870, -0.0270472804994330},
    {0.7176350778844884, 0.9977908848731649, 0.0587417405409064, -0.0249687862600277},
    {0.7568349405153278, 0.9980335016835971, 0.0533422734540634, -0.0229939300246567},
    {0.7985136398601910, 0.9982491081926113, 0.0483888614855456, -0.0210955104455079},
    {0.8429957986575447, 0.9984413460657657, 0.0438367354682346, -0.0192568999292516},
    {0.8906579691444872, 0.9986132696616085, 0.0396471985373389, -0.0174696511323222},
    {0.9419382354783206, 0.9987674449062151, 0.0357868214260068, -0.0157321580793062},
    {0.9973492090313995, 0.9989060335255482, 0.0322266679082970, -0.0140483255346268},
    {1.0000000000000000, 0.9989120483790275, 0.0320701189135438, -0.0139724779364677},
    {0.0000000000000000, 0.7206939468220194, 1.4836042728708649, -1.0429725677299002},
    {0.0084850215761997, 0.7491161546873074, 1.4142369216066006, -0.9499540069142559},
    {0.0165834167356279, 0.7737947805258277, 1.3470212192983415, -0.8666635001758334},
    {0.0249379736753266, 0.7968659666272919, 1.2776296664859190, -0.7877072180892016},
    {0.0336521279601987, 0.8185033318693213, 1.2061137382081317, -0.7135583329647512},
    {0.0425943376191685, 0.8383222537864796, 1.1344651132971775, -0.6462006137467455},
    {0.0518570769507544, 0.8565258842587419, 1.0628137980792474, -0.5852105365446563},
    {0.0614242733066273, 0.8730872056574385, 0.9921169110552075, -0.5306169450831972},
    {0.0712004101725950, 0.8879131367400718, 0.9237581276161954, -0.4824104954318288},
    {0.0812547594645220, 0.9012095169771714, 0.8577958975937965, -0.4394815054402719},
    {0.0914120876392747, 0.9128831629634446, 0.7957239389983685, -0.4016839974408268},
    {0.1000000000000000, 0.9215446400184795, 0.7468007374837919, -0.3732799955746228},
    {0.1106252858917583, 0.9309260021174851, 0.6906619888693930, -0.3417930575441359},
    {0.1215118537994472, 0.9392109463351015, 0.6379627591161351, -0.3129563901354392},
    {0.1326927219895739, 0.9465256836469581, 0.5886119142714190, -0.2862921836500000},
    {0.1442043261580766, 0.9529827100658876, 0.5424870641315822, -0.2614554260818203},
    {0.1560121330086098, 0.9586487225934862, 0.4997025550659340, -0.2383496120289860},
    {0.1680113903915155, 0.9635702072393824, 0.4604882983036064, -0.2170371779490998},
    {0.1802782008058782, 0.9678694288518257, 0.4244016451730169, -0.1972831468705390},
    {0.1928775560030004, 0.9716396624651131, 0.3911055590742465, -0.1789470442032972},
    {0.2058711928048372, 0.9749554065200097, 0.3603250252473978, -0.1619418610213085},
    {0.2193166223028607, 0.9778767981567699, 0.3318367052410192, -0.1462168228929900},
    {0.2331437899872814, 0.9804322254941797, 0.3056774180746211, -0.1318630670820532},
    {0.2473979368791434, 0.9826719533087408, 0.2816274597211037, -0.1188206362026408},
    {0.2621487889564321, 0.9846412145837627, 0.2594599492622502, -0.1070139847445320},
    {0.2774653292510671, 0.9863768376443159, 0.2389877508370569, -0.0963768801830555},
    {0.2932465064765553, 0.9878942107811783, 0.2202447805258013, -0.0869409209251099},
    {0.3095065664523721, 0.9892215472872020, 0.2030893153839011, -0.0786274636450620},
    {0.3263273742296828, 0.9903879014138304, 0.1873285534049304, -0.0713217883530645},
    {0.3437881774931537, 0.9914164914242873, 0.1728074149786870, -0.0649207288039891},
    {0.3619706617700664, 0.9923263710823177, 0.1593965332123123, -0.0593275186014613},
    {0.3809609163542800, 0.9931333890274002, 0.1469863502325888, -0.0544498313283957},
    {0.4008513841036082, 0.9938508778172539, 0.1354828490547306, -0.0501987455391367},
    {0.4217428374693842, 0.9944901568779709, 0.1248044536790242, -0.0464883923765156},
    {0.4437465072927348, 0.9950609082700025, 0.1148797263224626, -0.0432360879607716},
    {0.4669864751761460, 0.9955714631361032, 0.1056456253389279, -0.0403628127584939},
    {0.4916024437248921, 0.9960290240502258, 0.0970461663604231, -0.0377939323501698},
    {0.5000000000000000, 0.9961685965977366, 0.0943559792978569, -0.0370060040992349},
    {0.5278931191467555, 0.9965816456512405, 0.0861941003831712, -0.0346401112823025},
    {0.5563642640186548, 0.9969360874065573, 0.0789294053980979, -0.0325331588041677},
    {0.5869280874996957, 0.9972566538731592, 0.0721282799823757, -0.0305170032316185},
    {0.6191134785493593, 0.9975409392339736, 0.0658947372322950, -0.0285904186410754},
    {0.6531722304290365, 0.9977945426082301, 0.0601584386031166, -0.0267122066695785},
    {0.6893444053009217, 0.9980216949520317, 0.0548677795903894, -0.0248560165783463},
    {0.7279083726659441, 0.9982259184786690, 0.0499782380626150, -0.0230058350191196},
    {0.7691854794110642, 0.9984101415160743, 0.0454516742731973, -0.0211547620289731},
    {0.8135492101168231, 0.9985768094228439, 0.0412553079341907, -0.0193037143335942},
    {0.8614360281649079, 0.9987279707615649, 0.0373609315805168, -0.0174602064207248},
    {0.9133584573373719, 0.9988653457154592, 0.0337442827219909, -0.0156371586039682},
    {0.9699207282706109, 0.9989903806843982, 0.0303845446735198, -0.0138516911447526},
    {1.0000000000000000, 0.9990483595086853, 0.0288035159570841, -0.0129836950054666},
    {0.0000000000000000, 0.7206939468220194, 1.4836042728708649, -1.0429725677299002},
    {0.0101189098866387, 0.7486287064980643, 1.4151395184174591, -0.9449854076499339},
    {0.0198805499880621, 0.7732660800459809, 1.3478212217131011, -0.8566938634946939},
    {0.0299449124269413, 0.7963736653956278, 1.2780711851016735, -0.7737067304299983},
    {0.0404147084080912, 0.8180644521816762, 1.2060662119201260, -0.6968454119727689},
    {0.0511236773680750, 0.8379342512901053, 1.1338545057257587, -0.6282260907013320},
    {0.0622233451720168, 0.8562501342992879, 1.0613016221659064, -0.5670826845196557},
    {0.0738955854987780, 0.8732369496046479, 0.9881796401788526, -0.5124636111616763},
    {0.0857844663676580, 0.8883898356762605, 0.9175451779456223, -0.4654070258206377},
    {0.0979658653469192, 0.9019217730091450, 0.8495291574229598, -0.4244324938772628},
    {0.1000000000000000, 0.9040022413616917, 0.8386146603920684, -0.4181892000868708},
    {0.1126623661089023, 0.9159089689083548, 0.7735555685153216, -0.3825078085435019},
    {0.1252782200245559, 0.9261559336394414, 0.7136502385153156, -0.3514521942729597},
    {0.1382135377201921, 0.9352174963304289, 0.6571891658899151, -0.3231509236706184},
    {0.1514276336175729, 0.9431780805477074, 0.6044652851049744, -0.2970937716586174},
    {0.1648542841135079, 0.9501215144805502, 0.5557130096675273, -0.2729637280066001},
    {0.1785967671639472, 0.9562128162431502, 0.5104791042978505, -0.2502964646547049},
    {0.1927425821463388, 0.9615754221860793, 0.4684364047846687, -0.2288280021690978},
    {0.2072894671203497, 0.9662816291582575, 0.4295405132742066, -0.2085358461007280},
    {0.2221206493515603, 0.9703718452017986, 0.3939597910713686, -0.1895825448842009},
    {0.2373270569017190, 0.9739448146251940, 0.3612952322115947, -0.1718696126637685},
    {0.2529934758313511, 0.9770775895055278, 0.3312299957486208, -0.1553484918956579},
    {0.2691592431851763, 0.9798250656330220, 0.3035751820581646, -0.1400362742204650},
    {0.2857947973892442, 0.9822257341364166, 0.2782530859715956, -0.1259997850408271},
    {0.3029865900545946, 0.9843305773280279, 0.2550054680977832, -0.1131871337023684},
    {0.3208160322648140, 0.9861803760969244, 0.2336247654237664, -0.1015540540052609},
    {0.3391080049312227, 0.9877880074996486, 0.2141932493152271, -0.0911898826419692},
    {0.3579012988105960, 0.9891881381849219, 0.1965124574562394, -0.0820063889534708},
    {0.3772934135956142, 0.9904133829084820, 0.1803610176909056, -0.0738869351837349},
    {0.3973772173807700, 0.9914895539624992, 0.1655620839786714, -0.0667264530889869},
    {0.4182465878199317, 0.9924376317830806, 0.1519695118542939, -0.0604264422394901},
    {0.4399989848095676, 0.9932749412967909, 0.1394603847084371, -0.0548930751110163},
    {0.4627378022356199, 0.9940159776191744, 0.1279297610917275, -0.0500363072423580},
    {0.4865746388568034, 0.9946729991894203, 0.1172869194050297, -0.0457696680974586},
    {0.5000000000000000, 0.9949978456684480, 0.1118594988433831, -0.0436737614118335},
    {0.5264379277298538, 0.9955581917021760, 0.1022068428492311, -0.0400738111253884},
    {0.5536458244465493, 0.9960433406818497, 0.0935140340282142, -0.0369584818582540},
    {0.5824944821768314, 0.9964763819957404, 0.0854524366694644, -0.0341552808098071},
    {0.6131256316510770, 0.9968627604615923, 0.0779840626755262, -0.0316055946441098},
    {0.6457522722413201, 0.9972079680098835, 0.0710612976925120, -0.0292525304444721},
    {0.6806167393652506, 0.9975167728209462, 0.0646418981130870, -0.0270472804994330},
    {0.7176350778844884, 0.9977908848731649, 0.0587417405409064, -0.0249687862600277},
    {0.7568349405153278, 0.9980335016835971, 0.0533422734540634, -0.0229939300246567},
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